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Finding the Third Proportional to 382,542 and 823,620

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Solution

The third proportional to 382,542 and 823,620 is: 1,773,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,542 : 823,620 = 823,620 : x
  2. Step 2: Convert to fraction form
    382,542/823,620 = 823,620/x
  3. Step 3: Cross multiply
    382,542x = 823,620 × 823,620
  4. Step 4: Simplify right side
    382,542x = 678,349,904,400
  5. Step 5: Solve for x
    x = 678,349,904,400/382,542
  6. Step 6: Final answer
    x = 1,773,269.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.